164839725709600 has 288 divisors, whose sum is σ = 410582971008000. Its totient is φ = 64609338393600.

The previous prime is 164839725709579. The next prime is 164839725709609. The reversal of 164839725709600 is 6907527938461.

It is not an unprimeable number, because it can be changed into a prime (164839725709609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27441269797 + ... + 27441275803.

It is an arithmetic number, because the mean of its divisors is an integer number (1425635316000).

It is a 1-persistent number, because it is pandigital, but 2⋅164839725709600 = 329679451419200 is not.

Almost surely, 2^{164839725709600} is an apocalyptic number.

164839725709600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164839725709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205291485504000).

164839725709600 is an abundant number, since it is smaller than the sum of its proper divisors (245743245298400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164839725709600 is a wasteful number, since it uses less digits than its factorization.

164839725709600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 67.

The spelling of 164839725709600 in words is "one hundred sixty-four trillion, eight hundred thirty-nine billion, seven hundred twenty-five million, seven hundred nine thousand, six hundred".